Solve t=35^3*3^7/45^2*21^3

$$t = \frac { 35 ^ { 3 } \cdot 3 ^ { 7 } } { 45 ^ { 2 } \cdot 21 ^ { 3 } }$$

Solve for t

$$t=5$$

Steps for Solving Linear Equation

Calculate 35 to the power of 3 and get 42875.

$$t=\frac{42875\times 3^{7}}{45^{2}\times 21^{3}}$$

Calculate 3 to the power of 7 and get 2187.

$$t=\frac{42875\times 2187}{45^{2}\times 21^{3}}$$

Multiply 42875 and 2187 to get 93767625.

$$t=\frac{93767625}{45^{2}\times 21^{3}}$$

Calculate 45 to the power of 2 and get 2025.

$$t=\frac{93767625}{2025\times 21^{3}}$$

Calculate 21 to the power of 3 and get 9261.

$$t=\frac{93767625}{2025\times 9261}$$

Multiply 2025 and 9261 to get 18753525.

$$t=\frac{93767625}{18753525}$$

Divide 93767625 by 18753525 to get 5.

$$t=5$$

Assign t

$$t≔5$$